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基于蒙特卡洛方法的线性混合效应状态空间模型

Linear Mixed Effects State Space Model Based on Monte Carlo Method
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摘要 针对线性混合效应状态空间模型中的状态估计问题,提出了一种新的统计推断方法,在假设总体参数已知及个体随机效应未知的情况下,通过卡尔曼滤波算法与序贯蒙特卡洛算法的结合,实现了对模型中状态的估计。最终在实际模型产生的模拟数据的基础上,通过文中所提算法与卡尔曼滤波算法的实例比较,验证了该方法的有效性。 A novel statistical inference method for linear mixed-effects state space model (MESSM) is pro-posed. The combination of Sequential Monte Carlo Algorithm and Kalman Filter achieves the state estimation underthe assumption that the random effects are unknown and the population parameters known. Finally a comparison ofMonte Carlo filter and Kalman filter based on simulated data validates the efficacy of the algorithm.
作者 唐爱萍
出处 《电子科技》 2015年第3期30-32,共3页 Electronic Science and Technology
关键词 纵向数据 线性状态空间模型 卡尔曼滤波 序贯蒙特卡洛算法 状态估计 Keywords longitudinal data linear state space sequential Monte Carlo method Kalman filter state esti-mation
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参考文献12

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